Extensions 1→N→G→Q→1 with N=C₂² and Q=D₃₆

Direct product G=N×Q with N=C₂² and Q=D₃₆

		d	ρ	Label	ID
C₂²×D₃₆		144		C2^2xD36	288,354

Semidirect products G=N:Q with N=C₂² and Q=D₃₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊D₃₆ = C₂²⋊D₃₆	φ: D₃₆/C₁₂ → S₃ ⊆ Aut C₂²	36	6+	C2^2:D36	288,334
C₂²⋊₂D₃₆ = C₃₆⋊₇D₄	φ: D₃₆/C₃₆ → C₂ ⊆ Aut C₂²	144		C2^2:2D36	288,140
C₂²⋊₃D₃₆ = C₂²⋊₃D₃₆	φ: D₃₆/D₁₈ → C₂ ⊆ Aut C₂²	72		C2^2:3D36	288,92

Non-split extensions G=N.Q with N=C₂² and Q=D₃₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².₁D₃₆ = D₇₂⋊₇C₂	φ: D₃₆/C₃₆ → C₂ ⊆ Aut C₂²	144	2	C2^2.1D36	288,115
C₂².₂D₃₆ = C₂².D₃₆	φ: D₃₆/D₁₈ → C₂ ⊆ Aut C₂²	72	4	C2^2.2D36	288,13
C₂².₃D₃₆ = Dic₁₈⋊C₄	φ: D₃₆/D₁₈ → C₂ ⊆ Aut C₂²	72	4	C2^2.3D36	288,32
C₂².₄D₃₆ = C₂².₄D₃₆	φ: D₃₆/D₁₈ → C₂ ⊆ Aut C₂²	144		C2^2.4D36	288,96
C₂².₅D₃₆ = C₈⋊D₁₈	φ: D₃₆/D₁₈ → C₂ ⊆ Aut C₂²	72	4+	C2^2.5D36	288,118
C₂².₆D₃₆ = C₈.D₁₈	φ: D₃₆/D₁₈ → C₂ ⊆ Aut C₂²	144	4-	C2^2.6D36	288,119
C₂².₇D₃₆ = C₃₆.₄₅D₄	central extension (φ=1)	288		C2^2.7D36	288,24
C₂².₈D₃₆ = C₈⋊Dic₉	central extension (φ=1)	288		C2^2.8D36	288,25
C₂².₉D₃₆ = C₇₂⋊₁C₄	central extension (φ=1)	288		C2^2.9D36	288,26
C₂².₁₀D₃₆ = C₂.D₇₂	central extension (φ=1)	144		C2^2.10D36	288,28
C₂².₁₁D₃₆ = C₁₈.C₄²	central extension (φ=1)	288		C2^2.11D36	288,38
C₂².₁₂D₃₆ = C₂×Dic₃₆	central extension (φ=1)	288		C2^2.12D36	288,109
C₂².₁₃D₃₆ = C₂×C₇₂⋊C₂	central extension (φ=1)	144		C2^2.13D36	288,113
C₂².₁₄D₃₆ = C₂×D₇₂	central extension (φ=1)	144		C2^2.14D36	288,114
C₂².₁₅D₃₆ = C₂×C₄⋊Dic₉	central extension (φ=1)	288		C2^2.15D36	288,135
C₂².₁₆D₃₆ = C₂×D₁₈⋊C₄	central extension (φ=1)	144		C2^2.16D36	288,137

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁